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Finding the Fourth Proportional to 7,241.40, 9,995.35 and 4,217.42

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Solution

The fourth proportional to 7,241.40, 9,995.35 and 4,217.42 is: 5,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.40 : 9,995.35 = 4,217.42 : x
  2. Step 2: Convert to fraction form
    7,241.40/9,995.35 = 4,217.42/x
  3. Step 3: Cross multiply
    7,241.40x = 9,995.35 × 4,217.42
  4. Step 4: Simplify right side
    7,241.40x = 42,154,555.13
  5. Step 5: Solve for x
    x = 42,154,555.13/7,241.40
  6. Step 6: Final answer
    x = 5,821.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.